Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400ez |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-6125000000 = -1 · 26 · 59 · 72 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- -4 -2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,292,-3338] |
[a1,a2,a3,a4,a6] |
Generators |
[309:1000:27] |
Generators of the group modulo torsion |
j |
448 |
j-invariant |
L |
4.1668788614363 |
L(r)(E,1)/r! |
Ω |
0.69654415858506 |
Real period |
R |
2.9911088991967 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965965 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400en1 39200cr1 78400eo1 78400dr1 |
Quadratic twists by: -4 8 5 -7 |